5x-2(4x-3)=x+1

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Solution for 5x-2(4x-3)=x+1 equation:


Simplifying
5x + -2(4x + -3) = x + 1

Reorder the terms:
5x + -2(-3 + 4x) = x + 1
5x + (-3 * -2 + 4x * -2) = x + 1
5x + (6 + -8x) = x + 1

Reorder the terms:
6 + 5x + -8x = x + 1

Combine like terms: 5x + -8x = -3x
6 + -3x = x + 1

Reorder the terms:
6 + -3x = 1 + x

Solving
6 + -3x = 1 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
6 + -3x + -1x = 1 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = 1 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = 1 + 0
6 + -4x = 1

Add '-6' to each side of the equation.
6 + -6 + -4x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 1 + -6
-4x = 1 + -6

Combine like terms: 1 + -6 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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